1,023,120
1,023,120 is a composite number, even.
1,023,120 (one million twenty-three thousand one hundred twenty) is an even 7-digit number. It is a composite number with 180 divisors, and factors as 2⁴ × 3² × 5 × 7² × 29. Its proper divisors sum to 3,111,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9C90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 213,201
- Square (n²)
- 1,046,774,534,400
- Cube (n³)
- 1,070,975,961,635,328,000
- Divisor count
- 180
- σ(n) — sum of divisors
- 4,134,780
- φ(n) — Euler's totient
- 225,792
- Sum of prime factors
- 62
Primality
Prime factorization: 2 4 × 3 2 × 5 × 7 2 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,023,120 = [1011; (2, 40, 1, 3, 1, 1, 1, 40, 1, 1, 1, 3, 1, 40, 2, 2022)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one million twenty-three thousand one hundred twenty
- Ordinal
- 1023120th
- Binary
- 11111001110010010000
- Octal
- 3716220
- Hexadecimal
- 0xF9C90
- Base64
- D5yQ
- One's complement
- 4,293,944,175 (32-bit)
- Scientific notation
- 1.02312 × 10⁶
- As a duration
- 1,023,120 s = 11 days, 20 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆
- Chinese
- 一百零二萬三千一百二十
- Chinese (financial)
- 壹佰零貳萬參仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1023120, here are decompositions:
- 13 + 1023107 = 1023120
- 19 + 1023101 = 1023120
- 37 + 1023083 = 1023120
- 41 + 1023079 = 1023120
- 53 + 1023067 = 1023120
- 73 + 1023047 = 1023120
- 79 + 1023041 = 1023120
- 83 + 1023037 = 1023120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.156.144.
- Address
- 0.15.156.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.156.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Friday, January 2, 3120 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 3120-02-01 (DMMYYYY (Euro, single-digit day))
- 3120-10-02 (MMDYYYY (US, single-digit day))
- 3120-02-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,023,120 and was likely granted around 1912.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.